Minimal Gr\"obner bases and the predictable leading monomial property (2009)
In this paper we focus on Gr\"obner bases over rings for the univariate case. We identify a useful property of minimal Gr\"obner bases, that we call the "predictable leading monomial (PLM) property"....
Onderzoek naar effecten van waterberging in een jong kleibos : achtergrondrapport Harderbos (2008)
Stuijfzand, S., ...
The predictable degree property and row reducedness for systems over a finite ring (2007)
Kuijper, M., Pinto, R., Polderman, J.W.
Motivated by applications in communications, we consider linear discrete time systems over the finite ring $Z_{p^r}$. We solve the open problem of deriving a theory of row reduced representations for...
Row reduced representations of behaviors over finite rings (2007)
Kuijper, M., Pinto, R., Polderman, J.W.
Row reduced representations of behaviors over fields posses a number of useful properties. Perhaps the most important feature is the predictable degree property. This property allows a finite...
Systems theoretic methods in decoding (2007)
In this paper we show how ideas based on system theoretic modeling of linear behaviors may be used for decoding of linear codes. In particular we show how Sudan's bivariate interpolation approach to...
Floating City IJmeer: Accelerator for Delta Technology (2006)
De Graaf, R., Fremouw, M., Van Bueren, B., Czapiewska, K., Kuijper, M.
Climate change, sea level rise, population growth and ongoing urbanization result in higher vulnerability of the Rhine delta because it will result in increased flooding frequency, increasing...
Kernel representations for behaviors over finite rings (2006)
Kuijper, M., Pinto, R., Polderman, J.W.
In this paper we consider dynamical systems finite rings. The rings that we study are the integers modulo a power of a given prime. We study the theory of representations for such systems, in...
Autonomicity and the absence of free variables for behaviors over finite rings (2006)
Kuijper, M., Pinto, R., Polderman, J.W., Rocha, P.
The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a...
Reed-Solomon list decoding from a system theoretic perspective (2004)
In this paper, the Sudan¿Guruswami approach to list decoding of Reed¿Solomon (RS) codes is cast in a system-theoretic framework. With the data, a set of trajectories or time series is associated...
Reed-Solomon list decoding from a system theoretic perspective (2004)
Kuijper, M., Polderman, Dr. J.W.
In this paper, the Sudan¿Guruswami approach to list decoding of Reed¿Solomon (RS) codes is cast in a system-theoretic framework. With the data, a set of trajectories or time series is associated...
Reed-Solomon list decoding from a system theoretic perspective (2004)
In this paper, the Sudan¿Guruswami approach to list decoding of Reed¿Solomon (RS) codes is cast in a system-theoretic framework. With the data, a set of trajectories or time series is associated...
Behavioral approach to list decoding (2002)
List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs...
Behavioral approach to list decoding (2002)
Polderman, Dr. J.W., Kuijper, M.
List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs...
Behavioral approach to list decoding (2002)
List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs...
Continuous Time-Varying Scalar Systems - a Behavioural Approach (2000)
A. Ilchmann, Y. Kuang, M. Kuijper, C. Zhang
We introduce a behavioural approach to linear time-varying systems p( d dt )w 1 = q( d dt )w 2 , where p(D); q(D) belong to M[D], i.e. the skew polynomial ring with real meromorphic coefficients M,...